# When is an invariant mean the limit of a Følner net?

@article{Hopfensperger2020WhenIA,
title={When is an invariant mean the limit of a F{\o}lner net?},
author={John Hopfensperger},
journal={arXiv: Functional Analysis},
year={2020}
}
2 Citations

### A BIJECTION OF INVARIANT MEANS ON AN AMENABLE GROUP WITH THOSE ON A LATTICE SUBGROUP

Abstract Suppose G is an amenable locally compact group with lattice subgroup $\Gamma$ . Grosvenor [‘A relation between invariant means on Lie groups and invariant means on their discrete

### Topological Invariant Means on Locally Compact Groups

Suppose is an amenable locally compact group. If { W } = { W }W ∈Γ is a Følner net for , associate it with the net {1 W /| W |} ⊂ !1 ( ) ⊂ !∗ ∞ ( ). Thus, every accumulation point of { W } is a

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